New World puzzle There are four people who want to cross a rickety bridge; they all begin on the same side. You have 17 minutes to get them all across to the other side. It is night, and they have one flashlight. A maximum of two people can cross the bridge at one time. Any party that crosses, either one or two people, must have the flashlight with them. The flashlight must be walked back and forth; it cannot be thrown, for example. Person 1 takes 1 minute to cross the bridge, person 2 takes 2 minutes, person 3 takes 5 minutes, and person 4 takes 10 minutes. A pair must walk together at the rate of the slower

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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problem for the peasant or prove it has no solution. (Note: The peasant is a
vegetarian but does not like cabbage and hence can eat neither the goat nor
the cabbage to help him solve the problem. And it goes without saying that
the wolf is a protected species.)
2. New World puzzle There are four people who want to cross a rickety bridge;
they all begin on the same side. You have 17 minutes to get them all across
to the other side. It is night, and they have one flashlight. A maximum of two
people can cross the bridge at one time. Any party that crosses, either one or
two people, must have the flashlight with them. The flashlight must be walked
back and forth; it cannot be thrown, for example. Person 1 takes 1 minute
to cross the bridge, person 2 takes 2 minutes, person 3 takes 5 minutes, and
person 4 takes 10 minutes. A pair must walk together at the rate of the slower
person's pace. (Note: According to a rumor on the Internet, interviewers at a
well-known software company located near Seattle have given this problem
to interviewees.)
3. Which of the following formulas can be considered an algorithm for comput-
ing the area of a triangle whose side lengths are given positive numbers a, b,
and c?
a. S=√p(p-a)(p-b) (p-c), where p = (a + b + c)/2
b. S=bc sin A, where A is the angle between sides b and c
c. S = aha, where he is the height to base a
Transcribed Image Text:problem for the peasant or prove it has no solution. (Note: The peasant is a vegetarian but does not like cabbage and hence can eat neither the goat nor the cabbage to help him solve the problem. And it goes without saying that the wolf is a protected species.) 2. New World puzzle There are four people who want to cross a rickety bridge; they all begin on the same side. You have 17 minutes to get them all across to the other side. It is night, and they have one flashlight. A maximum of two people can cross the bridge at one time. Any party that crosses, either one or two people, must have the flashlight with them. The flashlight must be walked back and forth; it cannot be thrown, for example. Person 1 takes 1 minute to cross the bridge, person 2 takes 2 minutes, person 3 takes 5 minutes, and person 4 takes 10 minutes. A pair must walk together at the rate of the slower person's pace. (Note: According to a rumor on the Internet, interviewers at a well-known software company located near Seattle have given this problem to interviewees.) 3. Which of the following formulas can be considered an algorithm for comput- ing the area of a triangle whose side lengths are given positive numbers a, b, and c? a. S=√p(p-a)(p-b) (p-c), where p = (a + b + c)/2 b. S=bc sin A, where A is the angle between sides b and c c. S = aha, where he is the height to base a
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